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- Evaluate: int(-pi/2)^(pi/2)sqrt(cos^(2n-1)x-cos^(2n+1)x)dx ,w h e r en...
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- f(x) is a continuous and bijective function on Rdot If AAt in R , the...
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- Evaluate: int(-1/2)^(1/2)cosxlog((1-x)/(1+x))dx
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- If int0^xf(t) dt=x+intx^1 tf(t)dt, then the value of f(1)
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- Evaluate: int0^x[cost]dt where x in (2npi,(4n+1pi/2),n in N ,a n d[do...
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- Suppose f is a real-valued differentiable function defined on [1,oo] ...
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- Let f be a real valued function satisfying f(x)+f(x+4)=f(x+2)+f(x+6) ...
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- If x int(0)^(x)sin(f(t))dx=(x+2)int(0)^(1)tsin(f(t))dt, where xgt0, th...
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- Evaluate: int0^2(dx)/((17+8x-4x^2)[e^(6(1-x))+1]
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- I f f(x)=int((pi^2)/(16))^(x^2)(sinxsinsqrt(theta))/(1+cos^2sqrt(theta...
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- Find the equation of tangent to the y = F(x) at x = 1, where F(x) = u...
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- If int0^x[x]dx=int0^([x])xdx , then prove that either x is purely fr...
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- Show that: int0^(pi//2)f(sin2x)sinxdx=sqrt(2)int0^(pi//4)f(cos2x)co...
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- If I1=int0^1 2^(x^2)dx , I2=int0^1 2^(x^3) dx , I3= int1^2 2^(x^2) dx ...
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- If af(x)+bf((1)/(x))=(1)/(x)-5,x ne 0,a ne b, then overset(2)underset(...
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- Find the mistake in the following evaluation of the integral I=int0^pi...
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- Find the value of int(-1)^1d/(dx)(tan^(-1)(1/x))dx
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- The value of int2^3(sqrt(x))/(sqrt(5-x)+sqrt(x))dx is
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- The value of int(-2)^2|1-x^2|dx is
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- If II=int0^(pi//2)cos(sinx)dx ,I2=int0^(pi/2)sin(cosx)dx \ ,a n d \ I3...
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